25 citations · 115 across the 34 of their papers we have counts for
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Numerical Stability of Generalized Entropies
György Steinbrecher, Giorgio Sonnino
In many applications, the probability density function is subject to experimental errors. In this work the continuos dependence of a class of generalized entropies on the experimen…
Generalized Rényi Entropy and Structure Detection of Complex Dynamical Systems
György Steinbrecher, Giorgio Sonnino
We study the problem of detecting the structure of a complex dynamical system described by a set of deterministic differential equation that contains a Hamiltonian subsystem, witho…
Category theoretic properties of the A. Rényi and C. Tsallis entropies
György Steinbrecher, Alberto Sonnino, Giorgio Sonnino
The problem of embedding the Tsallis and Rényi entropies in the framework of category theory and their axiomatic foundation is studied. To this end, we construct a special category…
The Rényi entropy of Lévy distribution
Giorgio Sonnino, György Steinbrecher, Alberto Sonnino
The equivalence between non-extensive C. Tsallis entropy and the extensive entropy introduced by Alfréd Rényi is discussed. The Rényi entropy is studied from the perspective of the…